Wave length of a monochromatic length light us 500Angstrom. Find the wave number?
Wave number (k) is defined as the reciprocal of wavelength (λ).
k = 1/λ
Given that the wavelength (λ) of the monochromatic light is 500 Angstroms,
k = 1/500 Angstrom
k = 0.002 Angstrom^-1
Therefore, the wave number of the monochromatic light is 0.002 Angstrom^-1.
To find the wave number, we can use the formula:
Wave number (k) = 1 / wavelength (λ)
Given that the wavelength of the monochromatic light is 500 Angstroms, we can substitute this value into the formula to find the wave number.
k = 1 / 500 Angstroms
Now, we need to convert the units of wavelength from Angstroms to meters since the SI unit of length is meters.
1 Angstrom = 1 x 10^-10 meters
Therefore, we can convert the wavelength to meters as follows:
500 Angstroms x (1 x 10^-10 meters / 1 Angstrom)
This simplifies to:
500 x 10^-10 meters
Now, we can substitute this value into the formula to find the wave number (k):
k = 1 / (500 x 10^-10 meters)
Simplifying this expression, we get:
k = 2 x 10^9 meters^-1
Thus, the wave number of the monochromatic light is 2 x 10^9 meters^-1.